There is a lot to do in Dunedin, depends what your are into.
If you enjoy a bit of wildlife, there is a 'wild' Albatross colony at the harbour entrance where you can go see these beautiful enormous birds, nesting, and if the weather is right, flying. These guys can have 7 foot wing spans. Is a scenic 45 minute drive from the city to the colony. There are also seals, and a penguin colony. Worth calling in at the Information centre in the Octagon (centre of the city) to get an idea if they are flying and what you will see - they need strng winds to get off the ground they are so big. Another option is a harbour cruise, but you don't get to see the birds up close up, but I believe there are packages for a cruise down the harbour with a land component.
If you like architecture, Dunedin has some lovely old buildings (old in New Zealand is only 100 years - we are a young country). They describer Dunedin as the 'Edinburgh' of the south, as it was established by Scottish immigrants.
There is the quirky, such as walking up and down the official 'steepest street in the world'.
We have two falls of snow in the city over the last month. Last week we had 3 inches on our lawn, hubby got the skis out and got in a couple of turns on our back lawn. The city was pretty much paralysed for two days with snow and back ice - we loved it! Treble Cone missed out on the last dump, but most are looking good for this time of year.
Check out this linkhttp://www.cityofdunedin.com
Follow the links thourgh to the visitors guide, and the must see and must do sections. Has some photos of my beautiful city - I think it is the prettiest in NZ but I'm biased. We only have about 110,000 people, I live on the rural edge of the city, and only takes me 8 minutes to get to my office. My office is in a building positoned in the harbour basin on the water, we have a walk bridge across to it. I look right down the harbour from my office, and occasionally have seals frolicking below my office window - I could not imagine working or living anywhere else. Stree free heaven, just a shame the nearest skifield is just over 3 hours away.